100998795417389 has 2 divisors, whose sum is σ = 100998795417390. Its totient is φ = 100998795417388.

The previous prime is 100998795417371. The next prime is 100998795417397. The reversal of 100998795417389 is 983714597899001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97988716155625 + 3010079261764 = 9898925^2 + 1734958^2 .

It is an emirp because it is prime and its reverse (983714597899001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100998795417389 - 2⁸ = 100998795417133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100998795414389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50499397708694 + 50499397708695.

It is an arithmetic number, because the mean of its divisors is an integer number (50499397708695).

Almost surely, 2^{100998795417389} is an apocalyptic number.

It is an amenable number.

100998795417389 is a deficient number, since it is larger than the sum of its proper divisors (1).

100998795417389 is an equidigital number, since it uses as much as digits as its factorization.

100998795417389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1234517760, while the sum is 80.

The spelling of 100998795417389 in words is "one hundred trillion, nine hundred ninety-eight billion, seven hundred ninety-five million, four hundred seventeen thousand, three hundred eighty-nine".